Journal of Statistical Physics

, Volume 131, Issue 2, pp 235–246 | Cite as

A Limit Result for a System of Particles in Random Environment

  • Pierre Andreoletti


We consider an infinite system of particles in one dimension, each particle performs independent Sinai’s random walk in random environment. Considering an instant t, large enough, we prove a result in probability showing that the particles are trapped in the neighborhood of well defined points of the lattice depending on the random environment, t and the starting points of the particles.


Random environment Random walk Sinai’s regime System of particles Excursions 


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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Laboratoire MAPMO, C.N.R.S. UMR 6628, Fédération Denis-PoissonUniversité d’OrléansOrléansFrance

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